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This article is cited in 12 scientific papers (total in 12 papers)
Transfer of a Passive Vector Admixture by a Two-Dimensional Turbulent Flow
S. V. Novikov Saint-Petersburg State University
Abstract:
We consider a model of a passive vector field transfer by a random two-dimensional transverse velocity field that is uncorrelated in time and has Gaussian spatial statistics given by a powerlike correlator. We use the renormalization group and the operator product expansion techniques to show that the asymptotic approximation of the structure functions of a vector field in the inertial range is determined by the energy dissipation fluctuations. The dependence of the asymptotic approximation on the external scale of turbulence is essential and has a powerlike form (the case of an anomalous scaling). The corresponding exponents are calculated in the one-loop approximation for structure functions of an arbitrary order.
Keywords:
turbulence, anomalous scaling, renormalization group (renormgroup), operator product expansion.
Received: 05.06.2002 Revised: 26.11.2002
Citation:
S. V. Novikov, “Transfer of a Passive Vector Admixture by a Two-Dimensional Turbulent Flow”, TMF, 136:1 (2003), 52–68; Theoret. and Math. Phys., 136:1 (2003), 936–950
Linking options:
https://www.mathnet.ru/eng/tmf212https://doi.org/10.4213/tmf212 https://www.mathnet.ru/eng/tmf/v136/i1/p52
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Abstract page: | 301 | Full-text PDF : | 180 | References: | 41 | First page: | 1 |
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